Recording SSH sessions

Hi! I'd like to record SSH sessions on an Debian server with asciinema. I'd like each SSH session to be written to a file, say in /var/, that's not readable to not-root users, and then I'll upload each cast to my other server periodically with a cronjob.

How would you suggest doing this? I added `asciicinema rec first.cast` to my .bashrc, but I'm wondering if there are smarter solutions.